Least Common Multiple of 7451/310, 8741/8645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7451/310, 8741/8645 quickly i.e. 65129191/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7451/310, 8741/8645 is 65129191/5.

LCM(7451/310, 8741/8645) = 65129191/5

LCM of 7451/310, 8741/8645

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 7451/310,8741/8645

Given numbers are 7451/310,8741/8645

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 7451,8741

Least Common Multiple of Numerators i.e. LCM of 7451,8741 is 65129191.

GCF of Denominators means GCF of 310,8645 as per the given fractions.

GCF of 310,8645 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7451,8741

LCM of Fractions 7451/310,8741/8645 is 65129191/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 65129191

Least Common Multiple of 7451,8741 with GCF Formula

Least Common Multiple of 7451,8741 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 7451,8741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7451,8741) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7451,8741) x common factors =1 x 1 = 1

LCM(7451,8741) = ( 7451 × 8741 ) / 1

LCM(7451,8741) = 65129191 / 1

LCM(7451,8741) = 65129191


Lets's calculate GCF of 310,8645

5 310, 8645
62, 1729

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65129191/5

Therefore the LCM of Fractions 7451/310,8741/8645 is 65129191/5

Greatest Common Factor of 310,8645 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,8645 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 8645

List of positive integer factors of 8645 that divides 8645 without a remainder.

1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645

Greatest Common Factor

We found the factors 310,8645 . The biggest common factor number is the GCF number.
So the greatest common factor 310,8645 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7451/310, 8741/8645

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 7451/310, 8741/8645?

Answer: LCM of Numerators as per given numbers 7451/310, 8741/8645 is

LCM of Numerators i.e. for 7451,8741 is 65129191

GCF of denominators i.e. for 310,8645 is 5.

Thus, LCM of Fractions is 65129191/5.Finally, LCM of Fractions for 7451/310, 8741/8645 is 65129191/5.